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Home » If the product of two numbers is 56 and their sum is 15, find the numbers. - Sterling Industries

If the product of two numbers is 56 and their sum is 15, find the numbers. - Sterling Industries

📅 April 21, 2026 👤 scraface

Apr 21, 2026

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📌 Question: Expand the product $ (x^2 - 3x + 2m)(x^2 - 3x + 5m) $ and simplify.

📌 Solution: Let $ y = x^2 - 3x $, then the product becomes $ (y + 2m)(y + 5m) = y^2 + 7my + 10m^2 $. Substitute back:

📌 x^4 - 6x^3 + (9 + 7m)x^2 - 21m x + 10m^2.

📌 oxed{x^4 - 6x^3 + (9 + 7m)x^2 - 21m x + 10m^2}

📌 Question: Solve for $ a $: $ rac{a^2 - 4a + 3}{a - 1} = 2 $.

📌 rac{(a - 1)(a - 3)}{a - 1} = 2 \implies a - 3 = 2 \quad (a

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